Theorems · Definition · commutative algebra
freeCommRingEquivMvPolynomialInt
(α : Type u) → FreeCommRing α ≃+* MvPolynomial α ℤ
The free commutative ring on α is isomorphic to the polynomial ring over ℤ with
variables in α
- Defined in
- Mathlib.RingTheory.FreeCommRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- RingEquivstatement · cited by 1,147
- MvPolynomial.Xproof · cited by 552
- Int.castRingHomproof · cited by 254
- MvPolynomial.eval₂Homproof · cited by 85
- FreeCommRingstatement and proof · cited by 43
- FreeCommRing.ofproof · cited by 34
- FreeCommRing.liftproof · cited by 10
- RingEquiv.ofRingHomproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- freeCommRingPEmptyEquivIntproof · cited by 0
- freeCommRingPUnitEquivPolynomialIntproof · cited by 0